Hamiltonian Field Theory in the Radiating Regime [electronic resource] /

The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.

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Main Authors: Chruściel, Piotr T. author., Jezierski, Jacek. author., Kijowski, Jerzy. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002
Subjects:Physics., Gravitation., Classical and Quantum Gravitation, Relativity Theory., Mathematical Methods in Physics.,
Online Access:http://dx.doi.org/10.1007/3-540-45604-X
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spelling KOHA-OAI-TEST:2079852018-07-30T23:38:43ZHamiltonian Field Theory in the Radiating Regime [electronic resource] / Chruściel, Piotr T. author. Jezierski, Jacek. author. Kijowski, Jerzy. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg,2002.engThe purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.Preliminaries -- Hamiltonian flows for geometric field theories -- Radiating scalar fields -- The energy of the gravitational field -- Hamiltonians associated with the BMS group.The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.Physics.Gravitation.Physics.Classical and Quantum Gravitation, Relativity Theory.Mathematical Methods in Physics.Springer eBookshttp://dx.doi.org/10.1007/3-540-45604-XURN:ISBN:9783540456049
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Physics.
Gravitation.
Physics.
Classical and Quantum Gravitation, Relativity Theory.
Mathematical Methods in Physics.
Physics.
Gravitation.
Physics.
Classical and Quantum Gravitation, Relativity Theory.
Mathematical Methods in Physics.
spellingShingle Physics.
Gravitation.
Physics.
Classical and Quantum Gravitation, Relativity Theory.
Mathematical Methods in Physics.
Physics.
Gravitation.
Physics.
Classical and Quantum Gravitation, Relativity Theory.
Mathematical Methods in Physics.
Chruściel, Piotr T. author.
Jezierski, Jacek. author.
Kijowski, Jerzy. author.
SpringerLink (Online service)
Hamiltonian Field Theory in the Radiating Regime [electronic resource] /
description The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.
format Texto
topic_facet Physics.
Gravitation.
Physics.
Classical and Quantum Gravitation, Relativity Theory.
Mathematical Methods in Physics.
author Chruściel, Piotr T. author.
Jezierski, Jacek. author.
Kijowski, Jerzy. author.
SpringerLink (Online service)
author_facet Chruściel, Piotr T. author.
Jezierski, Jacek. author.
Kijowski, Jerzy. author.
SpringerLink (Online service)
author_sort Chruściel, Piotr T. author.
title Hamiltonian Field Theory in the Radiating Regime [electronic resource] /
title_short Hamiltonian Field Theory in the Radiating Regime [electronic resource] /
title_full Hamiltonian Field Theory in the Radiating Regime [electronic resource] /
title_fullStr Hamiltonian Field Theory in the Radiating Regime [electronic resource] /
title_full_unstemmed Hamiltonian Field Theory in the Radiating Regime [electronic resource] /
title_sort hamiltonian field theory in the radiating regime [electronic resource] /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg,
publishDate 2002
url http://dx.doi.org/10.1007/3-540-45604-X
work_keys_str_mv AT chruscielpiotrtauthor hamiltonianfieldtheoryintheradiatingregimeelectronicresource
AT jezierskijacekauthor hamiltonianfieldtheoryintheradiatingregimeelectronicresource
AT kijowskijerzyauthor hamiltonianfieldtheoryintheradiatingregimeelectronicresource
AT springerlinkonlineservice hamiltonianfieldtheoryintheradiatingregimeelectronicresource
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